Characteristic integrals in 3D and linear degeneracy
Exactly Solvable and Integrable Systems
2013-12-19 v1 Differential Geometry
Abstract
Conservation laws vanishing along characteristic directions of a given system of PDEs are known as characteristic conservation laws, or characteristic integrals. In 2D, they play an important role in the theory of Darboux-integrable equations. In this paper we discuss characteristic integrals in 3D and demonstrate that, for a class of second-order linearly degenerate dispersionless integrable PDEs, the corresponding characteristic integrals are parametrised by points on the Veronese variety.
Keywords
Cite
@article{arxiv.1312.5266,
title = {Characteristic integrals in 3D and linear degeneracy},
author = {E. V. Ferapontov and J. Moss},
journal= {arXiv preprint arXiv:1312.5266},
year = {2013}
}